Integration is differentiable
Proc. Amer. Math. Soc. 53 (1975), 167-171
Primary 58C20; Secondary 34A25
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Abstract: The integration map taking vector fields to flows is well known to be continuous. In this paper an elementary proof is given that the map is actually smooth if the domain and range are given appropriate topologies.
Abraham and Joel
Robbin, Transversal mappings and flows, An appendix by Al
Kelley, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0240836
Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass.,
0193606 (33 #1824)
A. Gottlieb, Thesis, Brandeis University, Waltham, Mass., 1973.
C. Robinson (unpublished).
- R. Abraham and J. Robbin, Transversal mappings and flows, Benjamin, New York, 1967. MR 39 #2181. MR 0240836 (39:2181)
- J. Dugundji, Topology, Allyn and Bacon, Boston, Mass., 1966. MR 33 #1824. MR 0193606 (33:1824)
- A. Gottlieb, Thesis, Brandeis University, Waltham, Mass., 1973.
- C. Robinson (unpublished).
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